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Finding the Fourth Proportional to 390,643.20, 585,964.80 and 390,643.20

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Solution

The fourth proportional to 390,643.20, 585,964.80 and 390,643.20 is: 585,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,643.20 : 585,964.80 = 390,643.20 : x
  2. Step 2: Convert to fraction form
    390,643.20/585,964.80 = 390,643.20/x
  3. Step 3: Cross multiply
    390,643.20x = 585,964.80 × 390,643.20
  4. Step 4: Simplify right side
    390,643.20x = 228,903,164,559.36
  5. Step 5: Solve for x
    x = 228,903,164,559.36/390,643.20
  6. Step 6: Final answer
    x = 585,964.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.